Regular globally hyperbolic maximal anti‐de Sitter structures. Issue 1 (29th January 2020)

• Record Type: Journal Article
• Authors: Tamburelli, Andrea
• Is Part Of: Journal of topology. Volume 13:Issue 1(2020)
• Page Start: 416
• Page End: 439
• Publication Date: 2020-01-29
• Subjects: 57M50 (primary) -- 53A10 (secondary); Topology -- Periodicals; 514.05
• DOI: 10.1112/topo.12142
• Languages: English
• ISSNs: 1753-8416

Abstract

Abstract: Let Σ be a connected, oriented surface with punctures and negative Euler characteristic. We introduce regular globally hyperbolic anti‐de Sitter structures on Σ × R and provide two parameterisations of their deformation space: as an enhanced product of two copies of the Fricke space of Σ and as the bundle over the Teichmüller space of Σ whose fibre consists of meromorphic quadratic differentials with poles of order at most 2 at the punctures.